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Finding the Third Proportional to 578,887 and 1,234,238

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Solution

The third proportional to 578,887 and 1,234,238 is: 2,631,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,887 : 1,234,238 = 1,234,238 : x
  2. Step 2: Convert to fraction form
    578,887/1,234,238 = 1,234,238/x
  3. Step 3: Cross multiply
    578,887x = 1,234,238 × 1,234,238
  4. Step 4: Simplify right side
    578,887x = 1,523,343,440,644
  5. Step 5: Solve for x
    x = 1,523,343,440,644/578,887
  6. Step 6: Final answer
    x = 2,631,503.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.